Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem is to perform various geometric calculations and determinations based on the given point...
Coordinate GeometryVectorsDistance FormulaMidpoint FormulaEquation of a LineSlopeParallel LinesPerpendicular Lines
2025/4/25
The problem consists of three exercises: Exercise 1: Given points $A(1, 3)$, $B(2, 5)$, and $C(-2, 1...
Coordinate GeometryVectorsLinesLinear FunctionsAffine FunctionsSlopeEquation of a lineDistance FormulaMidpoint Formula
2025/4/25
The problem provides the coordinates of three points $A$, $B$, and $C$ in an orthonormal coordinate ...
VectorsCoordinate GeometryLinesDistance FormulaMidpoint FormulaSlopePerpendicular LinesParallel Lines
2025/4/25
The problem has three parts: (a) Express the area $L$ of the triangle in Figure I in terms of $y$. (...
AreaTrianglesQuadratic EquationsPolygonsHexagon
2025/4/25
The problem asks us to form a quadratic expression based on the diagram. The diagram shows a right-a...
Pythagorean TheoremQuadratic ExpressionRight Triangle
2025/4/25
The problem states that the function $P(s) = 3s$ gives the perimeter of an equilateral triangle with...
PerimeterEquilateral TriangleAlgebraic RepresentationInequalities
2025/4/24
The problem consists of two parts: (a) Given $\cos x = 0.7431$ and $0^\circ < x < 90^\circ$, find th...
TrigonometryAnglesPentagonInterior AnglesTrigonometric Identities
2025/4/24
We are asked to describe geometrically the domain of the following functions of three variables: 27....
Multivariable FunctionsDomainSpheresHyperboloidsEllipsoids
2025/4/24
We are asked to describe the graph of the given functions. Specifically, we will focus on problems 7...
3D GeometryPlanesSpheresEllipsoidsParaboloidsGraphing FunctionsMultivariable Calculus
2025/4/24
We are asked to describe the graphs of the given functions $f(x, y)$. Specifically, we'll analyze pr...
3D GeometrySpheresFunctions of Multiple VariablesGraphing
2025/4/24